1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlad1618 [11]
1 year ago
6

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

t it would produce a mean pressure of 5.4 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a standard deviation of 1.0. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Mathematics
1 answer:
KiRa [710]1 year ago
6 0

The p-value from the hypothesis test is 0.142 i.e., greater than the given significance level of 0.05. So, the null hypothesis is not rejected. The z-score for the given sample is 1.471.

<h3>What is the decision rule for the p-value approach to hypothesis testing?</h3>

The decision rule based on p-value states,

  • If p > α (significance level), then the null hypothesis is not rejected
  • If p < α (significance level), then the null hypothesis is rejected in favor of the alternative hypothesis.

<h3>Calculation:</h3>

Since it is given that the valve would produce a mean pressure of 5.4 pounds/square inch. I.e., μ = 5.4 p/si

So, Defining the hypothesis:

Null hypothesis H0: μ = 5.4

Alternative hypothesis Ha: μ ≠ 5.4

It is given that,

The valve was tested on 24 engines. I.e., Sample size n = 24

The sample mean X = 5.7

Standard deviation σ = 1.0 and

The significance level = 0.05

Since the population distribution is approximately normal,

the test statistic is calculated as follows:

z = (X - μ)/(σ/\sqrt{n})

On substituting the value,

z = (5.7 - 5.4)/(1.0/\sqrt{24})

  = (0.3)/0.204

  = 1.471

Fron this z-score, the p-value is calculated as 0.142.

Since, the value of p > 0.05 (significance level), the null hypothesis is not rejected.

Learn more about hypothesis testing here:

brainly.com/question/22078281

#SPJ4

You might be interested in
A local farm has raised $3,300 from their annual maple syrup festival. The owner of the farm decided to invest this money into a
myrzilka [38]
Total = Principal * (1 + rate)^years
Total = 3,300 * (1.018)^5
Total = 3,300 * <span> <span> <span> 1.0932988468 </span> </span> </span>
Total = <span> <span> <span> 3,607.8</span></span></span>9


7 0
3 years ago
Help...........................
Ksivusya [100]

Answer:

me

Step-by-step explanation:

pleas i'm begging you

5 0
3 years ago
under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box​
Anestetic [448]
<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is \frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

When substituted,the equation becomes \frac{y-6}{x-2}=\frac{18-6}{6-2}

which when simplified is y=3\times x

The line clearly passes through origin.

The distance between two points is \sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}

Distance between origin and (2,6) is \sqrt{40}.

Distance between origin and (6,18) is \sqrt{360}

Scale factor is  \frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}

So,scale factor is \frac{\sqrt{360} }{\sqrt{40} }

which when simplified becomes 3.

6 0
3 years ago
Four more than 3 times a number t written asfour
Orlov [11]
Four more than 3 times a number t

3t+4

If you are telling me to write the variable t as 4- then:

3(4)+4

12+4

16

Hope this helps!
~cupcake
5 0
3 years ago
Read 2 more answers
Rewrite the equation 8x + 6x^2 -7=x^2 in standard form and identify a, b, and c.
Vladimir79 [104]

Answer:

5x^2+8x-7=0\\a=5\\b=8\\c=-7

Step-by-step explanation:

The standard form of a quadratic is ax^2+bx+c=0. You need to subtract the x^2 from the right to set the quadratic equal to 0. Then a,b, and c are equal to the values of the coefficients in front of the terms.

If this helped, a brainliest would be greatly appreciated!

6 0
3 years ago
Other questions:
  • X+ 4x + 6x what is the answer in struggling really bad#
    9·2 answers
  • Solve and check:8a-4=25+6(a-8)
    14·1 answer
  • Evaluate19-11+(-17)+(-19)+11
    6·2 answers
  • Find the value of two numbers if their sum is 23 and their difference is 5
    10·1 answer
  • What is that little thing that goes over the 2 and 6
    5·1 answer
  • The graph shows the distance a cheetah ran. A giraffe ran at a rate of 0.25 mile per minute. Which statement about their speeds
    13·2 answers
  • Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
    8·1 answer
  • PLEASE HELP‼️‼️<br><br> A<br> B<br> C<br> D
    8·2 answers
  • Help please, I don't know how to solve this math problem step by step.<br> 48/-8+5x8
    15·1 answer
  • A guy wire runs from the top of a cell tower to a metal stake in the ground. Lincoln places a 10-foot tall pole to support the g
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!